The temperaments listed are 46edo-distinct, meaning that they are all different even if tuned in 46edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness.

5-limit temperaments

Number	Wedgie	Name	Complexity	Commas
1	<<1 21 31]]	Leapday	7.145	10737418240/10460353203
2	<<2 -4 -11]]	Srutal	2.121	2048/2025
3	<<3 17 20]]	Rodan	5.377	131072000/129140163
4	<<4 38 51]]		12.467	1407374883553280000/1350851717672992089
5	<<5 13 9]]	Amity	3.970	1600000/1594323
6	<<40 -34 -147]]		28.559	|147 -34 -40>
7	<<7 9 -2]]	Sensi	3.407	78732/78125
8	<<8 30 29]]		9.211	209715200000000/205891132094649
9	<<9 5 -13]]	Valentine	4.056	1990656/1953125
10	<<36 -26 -125]]		24.461	|125 -26 -36>
11	<<11 1 -24]]	Magus	5.504	50331648/48828125
12	<<12 22 7]]		7.088	31381059609/31250000000
13	<<13 -3 -35]]		7.289	34359738368/32958984375
14	<<32 -18 -103]]		20.421	|103 -18 -32>
15	<<15 -7 -46]]		9.218	70368744177664/66741943359375
16	<<16 14 -15]]	Vines	7.185	156728328192/152587890625
17	<<17 35 16]]	Minortone	10.972	50031545098999707/50000000000000000
18	<<28 -10 -81]]		16.483	|81 -10 -28>
19	<<19 31 5]]	Sfourth	10.389	617673396283947/610351562500000
20	<<20 6 -37]]		9.434	100192997081088/95367431640625
21	<<25 19 -28]]		11.16	311992186885373952/298023223876953125
22	<<24 -2 -59]]		12.742	576460752303423488/536441802978515625
23	<<23 23 -17]]		10.489	12339534735212544/11920928955078125

7-limit temperaments

Number	Wedgie	Name	Complexity	Commas
1	<<1 21 15 31 21 -24]]	Leapday	6.021	686/675 5120/5103
2	<<2 -4 -16 -11 -31 -26]]	Diaschismic	4.290	126/125 2048/2025
3	<<3 17 -1 20 -10 -50]]	Rodan	5.012	245/243 1029/1024
4	<<4 -8 14 -22 11 55]]	Shrutar	5.101	245/243 2048/2025
5	<<5 13 29 9 32 31]]	Accord	6.169	126/125 100352/98415
6	<<6 -12 -2 -33 -20 29]]	Echidnic	5.195	686/675 1029/1024
7	<<7 9 13 -2 1 5]]	Sensi	3.080	126/125 245/243
8	<<8 30 28 29 22 -19]]		8.030	686/675 179200/177147
9	<<9 5 -3 -13 -30 -21]]	Valentine	4.210	126/125 1029/1024
10	<<10 26 12 18 -9 -45]]	Bamity	6.572	245/243 64827/64000
11	<<11 1 27 -24 12 60]]	Magus	6.775	245/243 28672/28125
12	<<12 22 -4 7 -40 -71]]	Unidec	7.662	1029/1024 4375/4374
13	<<13 -3 11 -35 -19 34]]		6.058	686/675 6144/6125
14	<<14 18 -20 -4 -71 -97]]		10.536	6144/6125 78732/78125
15	<<15 -7 -5 -46 -50 8]]		8.019	1029/1024 9604/9375
16	<<16 14 10 -15 -29 -16]]	Vines	6.001	126/125 84035/82944
17	<<17 35 25 16 -8 -40]]		8.957	245/243 823543/800000
18	<<18 10 40 -26 13 65]]		9.205	245/243 401408/390625
19	<<19 31 9 5 -39 -66]]	Sfourth	9.250	4375/4374 64827/64000
20	<<20 6 24 -37 -18 39]]		8.085	686/675 110592/109375
21	<<25 19 7 -28 -59 -37]]		9.899	126/125 28824005/28311552
22	<<22 2 8 -48 -49 13]]		9.100	6144/6125 9604/9375
23	<<23 23 23 -17 -28 -11]]		8.560	126/125 5764801/5598720

11-limit temperaments

Number	Wedgie	Name	Complexity	Commas
1	<<1 21 15 11 31 21 14 -24 -47 -21]]	Leapday	5.226	121/120 441/440 686/675
2	<<2 -4 -16 -24 -11 -31 -45 -26 -42 -12]]	Diaschismic	5.048	126/125 176/175 5488/5445
3	<<3 17 -1 -13 20 -10 -31 -50 -89 -33]]	Rodan	5.754	245/243 385/384 441/440
4	<<4 -8 14 -2 -22 11 -17 55 23 -54]]	Shrutar	4.530	121/120 176/175 245/243
5	<<5 13 29 9 9 32 -3 31 -24 -75]]	Accord	5.513	121/120 126/125 896/891
6	<<6 -12 -2 20 -33 -20 11 29 88 63]]	Echidnic	6.012	385/384 441/440 686/675
7	<<7 9 13 31 -2 1 25 5 41 42]]	Sensus	4.503	126/125 176/175 245/243
8	<<8 -16 -18 -4 -44 -51 -34 3 46 51]]		6.991	121/120 441/440 2048/2025
9	<<9 5 -3 7 -13 -30 -20 -21 -1 30]]	Valentine	3.651	121/120 126/125 176/175
10	<<10 26 12 18 18 -9 -6 -45 -48 9]]	Bamity	5.692	121/120 245/243 441/440
11	<<11 1 27 29 -24 12 8 60 64 -12]]	Magus	6.425	176/175 245/243 1331/1323
12	<<12 22 -4 -6 7 -40 -51 -71 -90 -3]]	Unidec	7.532	385/384 441/440 4375/4374
13	<<13 -3 11 5 -35 -19 -37 34 22 -24]]	Twothirdtonic	5.305	121/120 176/175 686/675
14	<<14 18 26 16 -4 2 -23 10 -25 -45]]		5.457	121/120 126/125 245/243
15	<<15 -7 -5 27 -46 -50 -9 8 87 93]]		8.115	385/384 441/440 9604/9375
16	<<16 14 10 38 -15 -29 5 -16 40 72]]		6.460	126/125 176/175 26411/25920
17	<<17 -11 25 3 -57 -8 -54 89 45 -78]]		9.165	121/120 176/175 33614/32805
18	<<18 10 40 14 -26 13 -40 65 -2 -99]]		8.258	121/120 245/243 3168/3125
19	<<19 31 9 25 5 -39 -26 -66 -49 39]]	Sfourth	8.009	121/120 441/440 4375/4374
20	<<20 6 24 36 -37 -18 -12 39 63 18]]		7.552	176/175 686/675 1331/1323
21	<<25 19 7 45 -28 -59 -15 -37 39 102]]		9.479	126/125 176/175 717409/699840
22	<<22 2 8 12 -48 -49 -57 13 21 6]]		7.901	121/120 176/175 9604/9375
23	<<23 23 23 23 -17 -28 -43 -11 -26 -15]]		7.471	121/120 126/125 2401/2376

13-limit temperaments

Number	Wedgie	Name	Complexity	Commas
1	<<1 21 15 11 8 31 21 14 9 -24 -47 -59 -21 -33 -13]]	Leapday	4.750	91/90 121/120 169/168 441/440
2	<<2 -4 -16 -24 -30 -11 -31 -45 -55 -26 -42 -55 -12 -25 -15]]	Diaschismic	5.517	126/125 176/175 196/195 364/363
3	<<3 17 -1 33 24 20 -10 42 27 -50 18 -7 96 71 -39]]		5.905	91/90 176/175 245/243 847/845
4	<<4 -8 14 -2 -14 -22 11 -17 -37 55 23 -3 -54 -91 -41]]	Srutar	4.806	91/90 121/120 176/175 245/243
5	<<5 13 -17 9 -6 9 -41 -3 -28 -76 -24 -62 84 46 -54]]	Hitchcock	5.834	121/120 169/168 176/175 325/324
6	<<6 -12 -2 20 2 -33 -20 11 -19 29 88 49 63 13 -67]]	Echidnic	5.378	91/90 169/168 385/384 441/440
7	<<7 9 13 31 10 -2 1 25 -10 5 41 -10 42 -20 -80]]		4.140	91/90 126/125 169/168 352/351
8	<<8 -16 -18 -4 -28 -44 -51 -34 -74 3 46 -6 51 -12 -82]]		7.062	121/120 196/195 352/351 832/825
9	<<9 5 -3 7 26 -13 -30 -20 8 -21 -1 42 30 84 64]]	Dwynwen	4.463	91/90 121/120 126/125 176/175
10	<<10 26 12 18 34 18 -9 -6 17 -45 -48 -17 9 51 51]]	Bamity	5.542	91/90 121/120 245/243 441/440
11	<<11 1 27 29 -4 -24 12 8 -47 60 64 -13 -12 -111 -121]]	Magus	6.753	91/90 176/175 245/243 1331/1323
12	<<12 22 -4 -6 4 7 -40 -51 -38 -71 -90 -72 -3 26 36]]	Hendec	6.806	169/168 325/324 364/363 1716/1715
13	<<13 -3 11 5 12 -35 -19 -37 -29 34 22 39 -24 -7 23]]	Twothirdtonic	4.766	91/90 121/120 169/168 176/175
14	<<14 18 26 16 20 -4 2 -23 -20 10 -25 -20 -45 -40 10]]		4.895	91/90 121/120 126/125 169/168
15	<<15 -7 -5 -19 -18 -46 -50 -82 -84 8 -20 -16 -36 -32 8]]		7.753	176/175 196/195 364/363 507/500
16	<<16 14 10 38 36 -15 -29 5 -2 -16 40 32 72 64 -16]]		6.140	91/90 126/125 176/175 847/845
17	<<17 -11 25 3 -2 -57 -8 -54 -66 89 45 36 -78 -98 -18]]		8.467	91/90 121/120 176/175 9604/9477
18	<<18 10 -6 14 6 -26 -60 -40 -57 -42 -2 -23 60 39 -31]]		6.620	121/120 126/125 169/168 176/175
19	<<19 31 9 25 14 5 -39 -26 -48 -66 -49 -82 39 6 -44]]	Sfourth	7.421	121/120 169/168 325/324 441/440
20	<<20 6 24 36 22 -37 -18 -12 -39 39 63 29 18 -27 -57]]		6.772	91/90 169/168 176/175 1331/1323
21	<<25 19 7 -1 16 -28 -59 -88 -67 -37 -68 -33 -27 19 59]]		8.616	126/125 169/168 364/363 1716/1715
22	<<22 2 8 12 38 -48 -49 -57 -21 13 21 81 6 77 87]]		7.885	91/90 121/120 176/175 7203/7150
23	<<23 23 23 23 0 -17 -28 -43 -85 -11 -26 -85 -15 -85 -85]]		8.071	121/120 126/125 196/195 3549/3520